Details

sample514.0ms

Algorithm

intervals

Results

282.0ms	1623×	body	80	nan
85.0ms	544×	body	80	valid

simplify4.8s

Counts

1 → 1

Iterations

Iter	Nodes
6	7990
5	1486
4	460
3	167
2	63
1	32
0	17

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
0.8b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.4b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite338.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
15×	`add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`log-prod` `add-exp-log`
10×	`pow1` `add-log-exp`
8×	`associate-r` `associate-l`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`exp-prod`
4×	`insert-posit16`
3×	`associate-/r*` `times-frac` `exp-sum` `prod-exp` `cbrt-unprod` `rem-exp-log`
2×	`cbrt-undiv` `exp-diff` `diff-log` `div-exp` `pow-prod-down` `associate-l/` `log-pow` `-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3--` `associate--l+` `associate-r/` `div-inv` `flip--` `associate-/l` `associate-/l/`

Counts

4 → 99

Calls

4 calls:

31.0ms	(* (- t 1.0) (log a))
12.0ms	(* y (log z))
95.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
197.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series540.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(* (- t 1.0) (log a))
53.0ms	(* y (log z))
139.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
252.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify2.9s

Counts

111 → 111

Iterations

Iter	Nodes
3	5360
2	1404
1	516
0	237

prune1.5s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.7b

localize59.0ms

Local error

Found 4 expressions with local error:

0.8b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.4b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
1.4b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
1.4b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite666.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-cbrt-cube`
16×	`add-exp-log`
13×	`add-sqr-sqrt` `*-un-lft-identity`
11×	`add-cube-cbrt`
10×	`add-log-exp`
9×	`associate-/r*` `times-frac`
6×	`cbrt-undiv` `div-exp`
5×	`exp-prod`
4×	`pow1` `exp-diff` `insert-posit16`
3×	`clear-num` `frac-2neg` `exp-sum` `prod-exp` `associate-r/` `cbrt-unprod` `div-inv` `associate-/l` `rem-exp-log` `associate-/l/`
2×	`diff-log`
1×	`sum-log` `sub-neg` `associate--l+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 89

Calls

4 calls:

101.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
200.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
170.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
194.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series762.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
211.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
195.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
213.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify1.8s

Counts

101 → 101

Iterations

Iter	Nodes
3	3789
2	909
1	315
0	136

prune2.7s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.6b

localize100.0ms

Local error

Found 4 expressions with local error:

0.8b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.4b	(/ (* x (* 1 (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) y)
1.4b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
1.4b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

23×	`add-cbrt-cube`
22×	`add-exp-log`
13×	`add-sqr-sqrt` `*-un-lft-identity`
11×	`add-cube-cbrt`
10×	`add-log-exp`
9×	`associate-/r*` `times-frac`
8×	`div-exp`
7×	`cbrt-undiv` `prod-exp`
5×	`exp-prod` `cbrt-unprod`
4×	`pow1` `exp-diff` `associate-*r/` `insert-posit16`
3×	`clear-num` `frac-2neg` `exp-sum` `div-inv` `associate-/l*` `rem-exp-log` `associate-/l/`
2×	`diff-log`
1×	`sum-log` `sub-neg` `1-exp` `associate--l+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 92

Calls

4 calls:

77.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
637.0ms	(/ (* x (* 1 (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) y)
197.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
190.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series882.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
243.0ms	(/ (* x (* 1 (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) y)
221.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
225.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify3.1s

Counts

104 → 104

Iterations

Iter	Nodes
3	4682
2	1198
1	421
0	181

prune2.2s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.6b

localize48.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.8b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.2b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (* (cbrt y) (cbrt y)))

rewrite260.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-exp-log`
12×	`add-cbrt-cube`
10×	`add-log-exp`
9×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`cbrt-prod`
5×	`exp-prod`
4×	`pow1` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `insert-posit16`
3×	`exp-sum` `rem-exp-log`
2×	`exp-diff` `pow1/3` `diff-log`
1×	`clear-num` `associate-/r` `sum-log` `sub-neg` `frac-2neg` `times-frac` `associate--l+` `associate-r/` `div-inv` `associate-/l*` `distribute-lft-out--` `difference-of-squares` `associate-/l/`

Counts

4 → 67

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
71.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
188.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (* (cbrt y) (cbrt y)))

series1.1s

Counts

4 → 12

Calls

4 calls:

276.0ms	(cbrt y)
264.0ms	(cbrt y)
142.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
407.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (* (cbrt y) (cbrt y)))

simplify3.6s

Counts

79 → 79

Iterations

Iter	Nodes
3	8044
2	1381
1	398
0	154

prune1.2s

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 0.6b

regimes2.2s

Accuracy

67.1% (0.4b remaining)

Error of 1.1b against oracle of 0.7b and baseline of 2.0b

bsearch426.0ms

Steps

Iters	Range		Point
4	8.620877957813191e+23	1.1770872891985226e+24	9.113064666277571e+23
7	-4.2760000784391554e-156	-1.6072598213180812e-157	-1.9895651398403923e-156

simplify31.0ms

Iterations

Iter	Nodes
2	47
1	47
0	37

end0.0ms

sample16.2s

Algorithm

intervals

Results

9.0s	46580×	body	80	nan
3.0s	15235×	body	80	valid